Comparing HEVC-based and AV1-based: there's a tech demo (that I've posted here...a lot now heh) at
https://people.xiph.org/~tdaede/av1stilldemo/. Both AV1 and x265 intra look great. If the artifacts when you compare to originals bug you, remember this is just a test at a level where JPEG is painfully blocky, and you can go higher!
Visually, I think AV1 adds less DCT-ish noise, but tends to blur small, low-contrast details a little more than x265. (Compare the ends of tree branches on the default image, Crepuscular Rays, or faraway tiles and details in Mercado dos Lavradores. Haven't done objective measurements though--you may disagree.) I, personally, like AV1's tradeoffs better, at least from what I see there. Patches of ringing draw attention, whereas slight blurring is something we're used to ignoring since it comes from lots of things besides codecs; natural vision and camera images aren't completely sharp either. (Dunno why AV1's that way, but might be that it does more aggressive deringing with that filter Monty's posting about next.)
The photo caption on the comparison in this story suggested the same conclusion re the detail vs. noise tradeoff, for what it's worth: https://www.cnet.com/news/google-mozilla-av1-photo-format-co...
The paper on the deringing filter included subjective tests, and it suggests that test subjects liked its results more consistently than you might guess from the changes in objective metrics--small sample size though: https://arxiv.org/pdf/1602.05975.pdf
Sometimes you may want x265's bias towards more detail; in the Tiger image, AV1 "cuts" the whiskers near the top of the image shorter than x265 does. Tricky to 'teach' encoders that some detail is more important than others despite both being equally low size or contrast.
Given they're both a ton better than JPEG, the big advantage to AV1 for a random developer is the openness; we can use it w/out needing to either take a legal risk or lean on the implementation of some company that's dealt with the HEVC patent mess for us.